TY - JOUR AU1 - Zhang, Haiying AB - In this paper, the weighted fractional Fourier transform with dilation parameter (N-PFRFT) is proposed as the weighted combination of the first four integer-order ordinary Fourier transforms. This N-PFRFT is an extension of four-item weighted fractional Fourier transform (N-PFRFT) defined by Shih1 and it owns four free parameters in the weight coefficients besides the order of the fractional Fourier transform. A novel image encryption algorithm is presented by the N-PFRFT.The method owns more secret keys than the encryption methods operated by other fractional Fourier transforms without any increase of the computational complexity. On the other hand, the image still can't be decrypted correctly even though the order of FRFT which is treated as a secret key is known. So do the four free parameters. Therefore, both the order parameter and the vector parameter can be chosen in the real domain to improve the security of the encryption method. Digital simulations are presented to verify the more validity and efficiency of the algorithm. TI - Optical image encryption based on two-dimensional N-parameter fractional Fourier transform JF - Proceedings of SPIE DO - 10.1117/12.834561 DA - 2009-07-03 UR - https://www.deepdyve.com/lp/spie/optical-image-encryption-based-on-two-dimensional-n-parameter-B0JShC04w3 SP - 73824B EP - 73824B-7 VL - 7382 IS - 1 DP - DeepDyve ER -